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Simplifying -5(3t + -5) + 6t = 2t + -5 Reorder the terms: -5(-5 + 3t) + 6t = 2t + -5 (-5 * -5 + 3t * -5) + 6t = 2t + -5 (25 + -15t) + 6t = 2t + -5 Combine like terms: -15t + 6t = -9t 25 + -9t = 2t + -5 Reorder the terms: 25 + -9t = -5 + 2t Solving 25 + -9t = -5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 25 + -9t + -2t = -5 + 2t + -2t Combine like terms: -9t + -2t = -11t 25 + -11t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 25 + -11t = -5 + 0 25 + -11t = -5 Add '-25' to each side of the equation. 25 + -25 + -11t = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -11t = -5 + -25 -11t = -5 + -25 Combine like terms: -5 + -25 = -30 -11t = -30 Divide each side by '-11'. t = 2.727272727 Simplifying t = 2.727272727
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